ON MINIMAL NON-BAER-GROUPS


ARIKAN A. , Trabelsi N.

COMMUNICATIONS IN ALGEBRA, cilt.39, ss.2489-2497, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/00927872.2010.489533
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.2489-2497

Özet

In this note we extend some results obtained by Xu [20] on soluble minimal non-Baer-groups to locally graded minimal non-Baer-groups. In particular, we prove that if G is an infinite locally graded minimal non-Baer-group, then G is a countable non-perfect locally nilpotent p-group for some prime p. Moreover, if G', the derived subgroup of G, is non-perfect, then for all integers n >= 2, G/gamma(n)(G') is a minimal non-nilpotent-group having a maximal subgroup.